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Two in a Row?

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Two in a Row? is a cooked quant interview question on probability.

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What this simple probability question tests

This is a foundational probability problem that appears frequently in interviews because it checks whether a candidate can set up and reason about conditional outcomes clearly. Despite its apparent simplicity, interviewers use it to see how you frame the problem: Do you enumerate cases? Do you think about complements? Can you express your reasoning in a way that generalizes?

The question rewards clean logic over calculation. You need to identify which outcomes satisfy the constraint, count them relative to the total sample space, and reduce your answer to lowest terms. It's an opportunity to demonstrate that you think systematically about probability rather than guessing.

  • Sample space and counting
  • Complement events
  • Independence of rolls